Some of the city’s top private schools claim state education officials intend to trample their autonomy.

The New York State Association of Independent Schools filed legal papers in Albany Supreme Court on Wednesday to block an attempt by the New York State Education Department to bolster their oversight and authority over private academic institutions.

Eleven member schools signed on to the filing, including The Brearley School and St. David’s in Manhattan.

Under pressure to crack down on religious Jewish academies accused of failing to provide secular academics, NYSED issued new guidelines in November that strengthened their authority over independent schools.

But private state schools warned Wednesday that the changes could potentially expose them to unwelcome intervention from public school authorities in the future.

The rules “would subject all nonpublic schools in New York State to regular evaluation by local public school authorities,” according to a letter to parents from Brearley Head of School Jane Foley Fried.

That external imposition, NYSAIS officials said, could compromise their independence.

“In delegating oversight authority to local boards of education and superintendents, the NYSED and Commissioner have developed a process that leaves independent and religious schools susceptible to bias, conflicts of interest, and local politicking,” said NYSAIS Executive Director Mark Lauria in a statement.

Fried argued that curricular sovereignty would be threatened under the new structure.

“This freedom to create, adapt and evolve our curricula is what attracts parents and teachers to our schools and produces exceptional outcomes for our students,” she said. “Today’s action is a reflection of our collective opposition to any measure that threatens our long and successful history of excellence in the classroom.”